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Rotational Mechanics

Videos

1. Kinematics of Rotation about a Fixed Axis

2. Torque of a Force Acting on a Particle

3. Torque of Co-planer Forces and of a Couple

4. Equation of Rotational Motion of Rigid Body

When a rigid body rotates about a fixed axis, all particles of the body except those
lying on the axis of rotation move in circular paths. By applying Newton's second
law of motion to individual particles, we can arrive at the rotational analogue
of F = ma. What is torque of a force? What is angular acceleration of a rotating
body? What is its moment of inertia? How do these quantities relate to each other?
The video lecture “Equation of Rotational Motion” answers some of these
questions, and more.

5. More Problems on Equation of Rotational Motion of Rigid Body

6. Moment of Inertia and Its Calculation for Various Bodies I

7. Calculation of Moments of Inertia for Various Bodies II

8. Problems on Moments of Inertia of Various Bodies

9. Two Important Theorems On Moment of Inertia

10. Applications of Parallel and Perpendicular Axes Theorems

11. Problems on Moments of Inertia of Various Bodies II

12. Overturning of Vehicles at a Bend

13. Angular Momentum of a Particle and its Relation with Torque

There is close similarity between equations of rectilinear motion and those of pure
rotation. Hence it is only expected that, just like force is related to linear momentum,
torque must be related to a similar quantity named angular momentum. What exactly
is angular momentum of a particle? What is angular momentum of a system of particles?
What is angular impulse? What is the relation between torque and angular momentum?
The video lecture “Torque and angular momentum” answers some of these
questions, and more.

14. Problems on Angular Momentum of a Particle

15. Angular Momentum of a System of Particles and Angular Impulse

16. More Problems on Angular Momentum

17. Problems on Angular Impulse

18. Principle of Conservation of Angular Momentum and its Applications

The principle of angular momentum conservation follows from the rotational analogue
of impulse-momentum theorem. How can a boy sitting on a pivoted stool gain angular
speed? Why does a springboard diver curl up in mid-air? What is the secret of a
child riding higher and higher on a swing? The video lecture “Principle of
Conservation of Angular Momentum” answers some of these questions, and more.

19. Problems on Principle of Angular Momentum Conservation

20. Work and Power in Rotational Motion

21. Rotational Kinetic Energy and Comparison between Translation and Rotation

22. Rolling Motion of Rigid Body on Horizontal Floor

The rolling motion of a round body is the combination of two motions: translation
of the centre of mass and rotation about a moving axis through the centre of mass.
Suppose a body is released on a rough floor with a linear velocity only. How does
the linear velocity change with time? How does the angular velocity change in time?
When does the body stop slipping on the floor? When does it stop rolling altogether?
Will the results be the same for a sphere and a cylinder? The video lecture “Rolling
Body on Horizontal Floor” answers some of these questions, and more.